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Simplifying 14 + -1s(3p + 1) = 6(4 + p) Reorder the terms: 14 + -1s(1 + 3p) = 6(4 + p) 14 + (1 * -1s + 3p * -1s) = 6(4 + p) Reorder the terms: 14 + (-3ps + -1s) = 6(4 + p) 14 + (-3ps + -1s) = 6(4 + p) 14 + -3ps + -1s = (4 * 6 + p * 6) 14 + -3ps + -1s = (24 + 6p) Solving 14 + -3ps + -1s = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 14 + -3ps + -6p + -1s = 24 + 6p + -6p Reorder the terms: 14 + -6p + -3ps + -1s = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 14 + -6p + -3ps + -1s = 24 + 0 14 + -6p + -3ps + -1s = 24 Add '-14' to each side of the equation. 14 + -6p + -3ps + -14 + -1s = 24 + -14 Reorder the terms: 14 + -14 + -6p + -3ps + -1s = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -6p + -3ps + -1s = 24 + -14 -6p + -3ps + -1s = 24 + -14 Combine like terms: 24 + -14 = 10 -6p + -3ps + -1s = 10 Add 's' to each side of the equation. -6p + -3ps + -1s + s = 10 + s Combine like terms: -1s + s = 0 -6p + -3ps + 0 = 10 + s -6p + -3ps = 10 + s Reorder the terms: -10 + -6p + -3ps + -1s = 10 + s + -10 + -1s Reorder the terms: -10 + -6p + -3ps + -1s = 10 + -10 + s + -1s Combine like terms: 10 + -10 = 0 -10 + -6p + -3ps + -1s = 0 + s + -1s -10 + -6p + -3ps + -1s = s + -1s Combine like terms: s + -1s = 0 -10 + -6p + -3ps + -1s = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 6p + 3ps + s) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 6p + 3ps + s)' equal to zero and attempt to solve: Simplifying 10 + 6p + 3ps + s = 0 Solving 10 + 6p + 3ps + s = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6p + 3ps + -10 + s = 0 + -10 Reorder the terms: 10 + -10 + 6p + 3ps + s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6p + 3ps + s = 0 + -10 6p + 3ps + s = 0 + -10 Combine like terms: 0 + -10 = -10 6p + 3ps + s = -10 Add '-1s' to each side of the equation. 6p + 3ps + s + -1s = -10 + -1s Combine like terms: s + -1s = 0 6p + 3ps + 0 = -10 + -1s 6p + 3ps = -10 + -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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